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| Exponential map (disambiguation) ： ウィキペディア英語版 |
Exponential map
In differential geometry, the exponential map is a generalization of the ordinary exponential function of mathematical analysis. Important special cases include:
* exponential map (Riemannian geometry) for a manifold with a Riemannian metric,
* exponential map (Lie theory) from a Lie algebra to a Lie group,
* More generally, in a manifold with an affine connection, , where is a geodesic with initial velocity ''X'', is sometimes also called the exponential map. The above two are special cases of this with respect to appropriate affine connections.
* Euler's formula forming the unit circle in the complex plane.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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